IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/263045.html
   My bibliography  Save this article

Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems

Author

Listed:
  • Zhiguo Yan
  • Weihai Zhang

Abstract

This paper is concerned with the finite-time stability and stabilization problems for linear Itô stochastic singular systems. The condition of existence and uniqueness of solution to such class of systems are first given. Then the concept of finite-time stochastic stability is introduced, and a sufficient condition under which an Itô stochastic singular system is finite-time stochastic stable is derived. Moreover, the finite-time stabilization is investigated, and a sufficient condition for the existence of state feedback controller is presented in terms of matrix inequalities. In the sequel, an algorithm is given for solving the matrix inequalities arising from finite-time stochastic stability (stabilization). Finally, two examples are employed to illustrate our results.

Suggested Citation

  • Zhiguo Yan & Weihai Zhang, 2014. "Finite-Time Stability and Stabilization of Itô-Type Stochastic Singular Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, January.
    • Handle: RePEc:hin:jnlaaa:263045
    DOI: 10.1155/2014/263045
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/263045.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/263045.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/263045?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnlaaa:263045. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.